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Finding the Fourth Proportional to 17,615.55, 24,309.41 and 9,657.75

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Solution

The fourth proportional to 17,615.55, 24,309.41 and 9,657.75 is: 13,327.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,615.55 : 24,309.41 = 9,657.75 : x
  2. Step 2: Convert to fraction form
    17,615.55/24,309.41 = 9,657.75/x
  3. Step 3: Cross multiply
    17,615.55x = 24,309.41 × 9,657.75
  4. Step 4: Simplify right side
    17,615.55x = 234,774,156.14
  5. Step 5: Solve for x
    x = 234,774,156.14/17,615.55
  6. Step 6: Final answer
    x = 13,327.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.